Observations have shown that the majority of massive stars, progenitors black holes (BHs), on average more than one stellar companion. In triple systems, wide inner binaries can be driven to a merger by third body due long-term secular interactions, most notably eccentric Lidov-Kozai effect. this study, we explore properties BH mergers in systems and compare their population those produced isol...

A mesh-free method based on moving least squares approximation (MLS)  and weak form of governing equations including two dimensional equations of motion and Maxwell’s equation is used to analyze the free vibration of functionally graded piezoelectric material (FGPM) beams. Material properties in beam are determined using a power law distribution. Essential boundary conditions are imposed by the...